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MARKS/PUNTE: 150

This memorandum consists of 15 pages. Hierdie memorandum bestaan uit 15 bladsye.

PHYSICAL SCIENCES: PHYSICS (P1) FISIESE WETENSKAPPE: FISIKA (V1)

EXEMPLAR/MODEL 2014

MEMORANDUM

NATIONAL SENIOR CERTIFICATE/

NASIONALE SENIOR SERTIFIKAAT

GRADE/GRAAD 11

Physical Sciences P1/Fisiese Wetenskappe V1 2 DBE/November 2014 CAPS/KABV – Grade 11/Graad 11 – Memorandum


QUESTION 1/VRAAG 1 1.1 D (2) 1.2 B (2) 1.3 D (2) 1.4 C (2) 1.5 A (2) 1.6 A (2) 1.7 B (2) 1.8 D (2) 1.9 C (2) 1.10 D (2)

[20] QUESTION 2/VRAAG 2 2.1 CHECK ANSWER BY CONSTRUCTION AND MEASUREMENT

VERGELYK ANTWOORD DEUR KONSTRUKSIE EN METING

NOTES/AANTEKENINGE Weight (w) measured to accuracy of ±5 N / Gewig (w) gemeet tot akkuraatheid van ±5 N Anything beyond ±10 N should attract 1 mark only Enigiets bo ±10 N kan slegs 1 punt kry

Tension force T1 measured to accuracy of ±10 N Spanning T1 korrek gemeet tot 'n akkuraatheid van ±10 N

Tension force T2 measured to accuracy of ±10 N Spanning T2 korrek gemeet tot 'n akkuraatheid van ±10 N

Angle of 60o and 40o accurately obtained (may not be indicated, but must be measured to ascertain). Hoek van 60o en 40o akkuraat verkry (mag nie aangedui word nie, maar moet gemeet word om te bepaal).

60o

40o 800 N 700 N

520 N

T2

T1

60o

40o

800 N

700 N

520 N

T2

T1



Penalise 1 mark if distance (cm) instead of forces indicated on diagram (if final answer is correctly written). Penaliseer 1 punt indien afstand (cm) in plaas van kragte op diagram aangedui word (indien finale antwoord korrek geskryf is).

Penalise 1 mark if no scale is indicated. Penaliseer 1 punt indien geen skaal aangedui is nie

If no answer is given but sketch correctly shown in cm, award only 3 marks. Indien geen antwoord gegee is nie, maar die skets is korrek in cm getoon, ken slegs 3 punte toe.

2.1 BY CALCULATION / DEUR BEREKENING OPTION 1/OPSIE 1

T1 sin 30 + T2 sin 50 = 800……….(1) T1 cos 30 = T2 cos 50……………..(2)

T2 = 50 cos30 cosT1

∴ 800 = 30sinT + 50 cos

50) 30)(sin cosT(1

1 1,532 T1 = 800 T1 = 522,19 N

T2 = 50 cos

)30)(cos19,522(

= 703,54 N

(7)

OPTION 2/OPSIE 2

80 sin800

= 60 sin

T2

T2 = ( )( )

80 sin60 sin800

T2 = 703,51N

80 sin800

= 40 sin

T1

T1 = ( )( )

80 sin40 sin800

= 522,16 N

50o 30o

T2 T1

800 N

40O

60O

NOTE/LET WEL: Do not penalise if sketch is not shown. Moenie penaliseer indien skets nie getoon is nie

NOTE/LET WEL: Do not penalise if sketch is not shown Moenie penaliseer indien skets nie getoon is



P

703,5 N

703,5 N

25o 1275 N

2.2 BY CONSTRUCTION AND MEASUREMENT: DEUR KONSTRUKSIE EN

METING POSITIVE MARKING FROM QUESTION 2.1/ POSITIEWE NASIEN VANAF VRAAG 2.1

Parallelogram drawn with adjacent sides equal to T2 Parallelogram getrek met aangrensende kante gelyk aan T2.

Angle of 50o or 25o accurately obtained May not be indicated, but must be measured to ascertain. Hoek van 50o of 25o akkuraat verkry Mag nie aangedui word nie, maar moet gemeet word om te bepaal.

Reaction force recorded as 1 275 N ±10 N Reaksiekrag aangeteken as 1 275 N ±10 N

Penalise 1 mark if distance (cm) instead of forces indicated on diagram (if final answer is correct). Penaliseer 1 punt indien afstand (cm) in plaas van kragte aangedui word op diagram (indien finale antwoord korrek is).

If no answer is given but sketch shown in cm, award only 1 mark. Indien geen antwoord gegee word nie, maar skets getoon in cm, ken slegs 1 punt toe.

2.2 BY CALCULATION: (POSITIVE MARKING FROM QUESTION 2.1)

DEUR BEREKENING (POSITIEWE NASIEN VANAF VRAAG 2.1) OPTION 1/OPSIE 1

130 sinx

= 25 sin54,,703

x = ( )( )

25sin130sin54,703

reaction force / reaksiekrag = 1275,25 N at 25o below the horizontal/ onder die horisontaal (or/of 335o)

OPTION 2/OPSIE 2

703,54PX

= 65 sin

PX = 637,62 Reaction force/Reaksiekrag = 2PX = 1275,25 N at 25o below the horizontal/onder die horisontaal( or/of 335o) OPTION 3/OPSIE 3 c2 = a2 + b2 – 2abcos C

P 703,54

703,54

25o

25o

x

P 703,54

703,54

25o

25o

X

25o



T1

w/Fg

∴ PR2 = 703,542 + 703,542 – 2(703,54)(703,54) cos 130 PR = 1275,25 N at 25o below the horizontal /onder die horisontaal (or/of 335o)

(4) [11]

QUESTION 3/VRAAG 3 3.1 The force that opposes the tendency of motion of a stationary object relative

to a surface. / Die krag wat die neiging tot beweging van 'n stilstaande liggaam relatief tot 'n oppervlak teenwerk. OR/OF The force of friction developed between two surfaces that are at rest. / Die krag of wrywing wat ontwikkel word tussen twee oppervlakke wat in rus is.

(2) 3.2 The resultant of all forces acting at point S is zero / Die resultaat van al die

kragte wat op punt S inwerk, is nul. Net force at S equals zero / Netto krag by S is gelyk aan nul. There is no acceleration / Daar is geen versnelling nie

(2) 3.3.1 (3) 3.3.2 (4)

w/Fg

T2 f

N

T2

Do not penalise if angle is notshown./Moenie penaliseer indien die hoek nie aangedui is nie. Deduct maximum 1 mark if arrows do not touch the dot. Trek ‘n maksimum van 1 punt af as pyltjies nie die kolletjie raak nie

Deduct maximum 1 mark if arrows do not touch the dot. Trek ‘n maksimum van 1 punt af as pyltjie nie die kolletjie raak nie.

P 703,54

703,54

25o

25o

R 25o

703,54



w/Fg/mg

T

N/FN

15 N/FA f

3.4 For the string/ Vir die toutjie

-T2 + T1 cos 35o = 0 ∴ T1 cos 35o = T2………….(1) T1 sin35o = wP ……………(2) For the block/Vir die blok T2 - fs = 0 T2 = fs = μsN T2 = 0,25 (70)(9,8) ………(3)

T1 = ( )( )( )

o35 cos8,97025,0

from (1)/ vanaf (1)

From (2) and (3)/Vanaf (2) en (3) 0,25(70)(9,8) sin 35o = wP 120,09 N

(7) [18]

QUESTION 4/VRAAG 4 4.1 (5) 4.2 When a net force is applied to an object of mass m, it accelerates in the

direction of the force at an acceleration directly proportional to the force and inversely proportional to the mass of the object. Wanneer 'n netto krag op 'n liggaaam met massa m toegepas word, versnel dit in die rigting van die krag teen 'n versnelling wat direk eweredig is aan die krag en omgekeerd eweredig is aan die massa van die liggaam. OR/OF When a net force acts on an object of mass m, the acceleration that results is directly proportional to the net force, has a magnitude that is inversely proportional to the mass and a direction that is the same as that of the net force. Wanneer 'n netto krag op 'n liggaam met massa m inwerk, is die gevolglike versnelling direk eweredig aan die netto krag, het 'n grootte wat omgekeerd eweredig is aan die massa en 'n rigting wat diedelfde is as dié van die netto krag.

(2) 4.3 N = w – FA sinθ

= 8(9,8) – 15 sin30 = 70,9 N

(3)

NOTE/LET WEL: 1 mark for each force correctly shown emanating from the dot. 1 punt vir elke krag korrek aangetoon wat uit die kolletjie voortspruit.



4.4 POSITIVE MARKING FROM QUESTION 4.3

POSITIEWE NASIEN VANAF VRAAG 4.3 For the 8 kg block/Vir die 8 kg-blok 15 cos 30o – T –fk = ma 15 cos 30o –T – μkN = 8a 15(0,866) – T –(0,25)(70,9) = 8a -4,735 – T = 8a…………….(1) For the 5 kg block/Vir die 5 kg-blok T – w = ma T – 5 (9,8) = 5a……………(2) From (1) and (2)/ Vanaf (1) en (2) -53,735 = 13 a a = -4,133 m∙s-2 from/vanaf (1) -4,735 – T = 8(-4,133) T = 28,32(9) N OR/OF From /vanaf (2) T – 5(9,8) = 5(-4,133) T = 28,33(5)N

(6) [16]

QUESTION 5/VRAAG 5 5.1 Every body in the universe attracts every other body with a force that is

directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres. Elke liggaam in die heelal trek 'n elke ander liggaam aan met 'n krag wat direk eweredig is aan die produk van hul massas en omgekeerd eweredig is aan die kwadraat van die afstand tussen hul middelpunte.

(2) 5.2 w = mg

m = 14,29 (14,286 kg)

F = 221

rmm

G OR/OF F = 2E

E

RmM

G

= ( )( )( ) 26

2411-

]10 ×6,7 + 38 ,6[286 ,1410 × ,985

× 10 67 ,6

= 33,31 N Change /Verandering = (140 – 33,31) = 106,69 N

% change/verandering = 100×140

699,106

= 76,21 %



OPTION B/OPSIE B w = mg m = 14,29 (14,286 kg)

w = mg = 2E

E

RmM

G

g/ = 2E

E

RM

G

= ( )

( ) 26

2411-

]10×6,7 + 38 ,6[ 10 × ,985

10× 6,67

g/ = 2,331 m∙s-2 (New weight / Nuwe gewig) w/ = mg/ = 14,286 x 2,331 = 33,301 N Change/Verandering = (140 – 33,30) = 106,699 N

% change/verandering = 100×140

699,106

= 76,21 %

(8) [10]

QUESTION 6/VRAAG 6 6.1.1 r/ sin r (1) 6.1.2 i/sin i (1) 6.1.3 The type of block used/temperature of the surroundings/source of

light/surface on which block is placed Die tipe blok gebruik/temperatuur van die omgewing/bron van die lig/ oppervlak waarop blok geplaas word.

(1)



6.2

Slope of graph/Helling van grafiek = n = r sinΔi sinΔ

=0) - (0,60) - (0,9

= 1,5

RUBRIC FOR MARKING GRAPH / RUBRIEK VIR NASIEN VAN GRAFIEK

Axes correctly chosen and labelled / Asse korrek gekies en benoem

Graph has a descriptive title / Grafiek het 'n beskrywende titel Correctly plotted points (minimum of 4 points) / Punte korrek geteken (minimum van 4 punte)

Best line of fit / Beste lyn van passing Deduct a maximum of 1 mark if more than 3 points are incorrectly plotted Trek 'n maksimum van 1 punt af indien meer as 3 punte verkeerd getrek is

(8)

Sin

io

0,2

0,4

0,6

1,0

sin ro

0 0,2 0,4 0,6 0,8

Graph of sin i versus sin r/Grafiek van sin i teenoor sin r

0,8

40



O

N

P

Crown glass/Kroonglas

Flint glass/Flintglas

X

Q Y

40

N/

6.3

n = vc

v =1,5

10 × 3 8

= 2 x 108 m∙s-1

(3) [14]

QUESTION 7/VRAAG 7 7.1 The index of refraction of the incident medium

multiplied by the sine of the incident angle is equal to the index of refraction of the refracting medium multiplied by the sine of the refracted angle. Die brekingsindeks van die invallende medium vermenigvuldig met die sinus van die invalshoek is gelyk aan die brekingsindeks van die refraktiewe medium vermenigvuldig met die sinus van die gebreekte hoek. OR/OF When light passes from one medium into another, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant. As lig van een medium na 'n ander beweeg, is die verhouding van die sinus van die invalshoek tot die sinus van die brekingshoek 'n konstante.

NOTE/LET WEL: Only 1 mark for Slegs 1 punt vir

r sini sin = a constant.

= 'n konstante

(2) 7.2

Sin c = n1

=1,66

1

c = 37,04o

(3) 7.3 &7.4

(1) (2)



7.5 Greater than/Groter as (1)

[9] QUESTION 8/VRAAG 8 8.1 The bending of a wave as it passes around the edges of an object.

Die buiging van 'n golf soos dit om die kante van 'n voorwerp beweeg. OR/OF The bending of a wave around an obstacle or the corners of an narrow opening. Die buiging van 'n golf om 'n versperring of deur die hoeke van 'n nou spleet/opening. OR/OF The ability of a wave to spread out in wave fronts as they pass through a small aperture or around a sharp edge. Die vermoë van 'n golf om in golffronte uit te sprei soos hulle deur 'n klein opening of om 'n skerp kant beweeg.

(2) 8.2 A broad central bright band with alternating bright and dark band (of

decreasing intensity) on either side of it. / 'n Breë, sentrale helder band met afwisselende helder en donker bande (van afnemende intensiteit) aan weerskante.

(2) 8.3 Huygen's principle/ Huygen se beginsel

Principle of superposition / Beginsel van superposisie

(2) 8.4.1 Patterns become narrower / Patrone word nouer. (1) 8.4.2 Brightness is unchanged/remains the same./ Helderheid is onveranderderd /

bly dieselfe

(1) 8.5 The patterns become narrower / Patrone word nouer. (1)

[9] QUESTION 9/VRAAG 9 9.1 Electric field at a point is defined as the force acting per unit charge.

Elektriese veld by 'n punt word gedefinieer as die krag wat inwerk per eenheidslading. OR/OF It is the force experienced by a unit positive charge placed at that point. Dit is die krag wat deur 'n eenheid positiewe lading geplaas by daardie punt ondervind word.

(2)



9.2 Enet = 0

OR/OF E1+ E2 = 0

0=rKQ

+r

kQ2

22

21

1

0=x

)10×3)(10×(9 -

x)- (0,2)10×)(210×(9

2

6 -9

2

-69

22 x3

= x)- (0,2

2

Taking square root/Neem vierkantswortel

22 x732,1

= x)- (0,2

1,414

x = 0,11 m

(7) 9.3

221

rQkQF=

Force experienced by the +3 μC charge due to the + 2 μC charge = F3,2 Krag ondervind deur die +3 μC -ading as gevolg van die + 2 μC-lading = F3,2

F3,2 = 2

-6-69

)2,0()10× 3)(10 ×(2

10×9

= 1,35 N to the right (east) / na regs (oos) Force experienced by the +3 μC charge due to the presence of the - 4 μC charge = F3,-4 Krag ondervind deur die +3 μC-lading as gevolg van die – 24 μC-lading = F3,-4

F3,-4 = 2

-6-69

)1,0()10× 3)(10 ×(4

10×9

= 10,8 N downwards (southwards)/afwaarts (suid)

22

12

net F+F=F 22 )35,1(+)8,10(=

= 10,88 N

(5) [14]

F3,2

F3,-4 Fnet



QUESTION 10/VRAAG109 10.1 North Pole/Noordpool (2) 10.2 North Pole/Noordpool (1) 10.3 There will be no reading (deflection)

Daar sal geen lesing (afwyking) waargeneem word nie An emf is induced only when the magnetic (flux) links with the coil. This is achieved when either the magnet (producing the field) or coil is moving. 'n Emk word slegs geïnduseer as die magnetiese vloedlyne met die spoel koppel. Dit word bereik wanneer óf die magneet (wat die veld verskaf) óf die spoel beweeg. ACCEPT/AANVAAR Either the coil or magnet must be moving to induce an emf. Óf die spoel óf die magneet moet beweeg om 'n emk te induseer.

(2) 10.4 The magnitude of the induced emf (in a conductor) is equal to the rate of

change of magnetic flux linkage. Die grootte van die geïnduseerde emk (in 'n geleier) is gelyk aan die tempo van verandering van magnetiese vloedkoppeling. OR/OF The emf induced in a conducting loop is equal to the negative of the rate at which the magnetic flux through the loop is changing with time Die geïnduseerde emk in 'n geleidende lus is gelyk aan die negatiewe van die tempo waarteen die magnetiese vloedlyne deur die lus verander oor tyd. ACCEPT/AANVAAR: The emf induced in a conductor is proportional to the rate at which magnetic field lines are cut by a conductor. Die geïnduseerde emk in 'n geleier is eweredig aan die tempo waarteen die magneetveldlyne deur 'n geleier gesny word.

(2) 10.5

tN

∆∆Φ

−=ε

OR

ε = ( )

tΔΦ -Φ

N- 3070 = tΔ

)30 BAcos - 70cosBA( N-

oo

= 2,0

)30 )cos10× )(4,810× (4 - 70cos)10 ×8,4)(10 ×4[( 100-

o-4-4o-4-4

OR/OF

2,0)30 cos - 70)](cos10 ×8,4)(10 ×4[(

100-oo-4-4

ε = 5,03 x 10-5 V

(5) 10.6 ε = IR

I = 2

10 × 03,5 -5

= 2,52 x 10-5 A

(3) [15]



QUESTION 11/VRAAG 11 11.1 The potential difference across a conductor is directly proportional to the

current in the conductor at constant tempearature. Die potensiaalverskil oor 'n geleier is direk eweredig aan die stroom in die geleier by konstante temperatuur. OR/OF Provided temperature and other physical conditions are constant, the potential difference across a conductor is directly proportional to the current. Mits die temperatuur en ander fisiese toestande konstant is, is die potentsiaalverskil oor 'n geleier direk eweredig aan die stroom.

(2) 11.2 OPTION 1/OPSIE 1

V1 = IR6Ω = 0,6 (6) = 3,6 V

I4Ω =46,3

∴ I4Ω = 0,9 A OPTION 2/OPSIE 2 V = IR (0,6)(6) = I4Ω(4)

I4Ω = 4

)6)(6,0(

= 0,9 A

(4)

11.3 POSITIVE MARKING FROM QUESTION 11.2.1

POSITIEWE NASIEN VANAF VRAAG 11.2.1 Itot = I6Ω + I4Ω = (0,6 + 0,9) Itot = 1, 5 A

(2) 11.4 POSITIVE MARKING FROM QUESTION 11.2.1 AND QUESTION 11.2.2

POSITIEWE NASIEN VANAF VRAAG 11.2.1 EN VRAAG 11.2.2 VX = Vtot – V1 =(6 -3,6) =2,4 V V = IR

X = 5,14,2

= 1,6 Ω

(3)


Copyright reserved/Kopiereg voorbehou

11.5 Energy/Energie W = I2 R∆t

For the same time interval I2 R∆t will be greater for the 4Ω resistor than for the 6Ω resistor. Vir dieselfde tydinterval sal I2RΔt groter wees vir die 4 Ω-resistor as vir die 6 Ω-resistor.

OR/OF

Energy/Energie W = tΔRV 2

For the same potential difference and time tΔRV 2

is greater for the smaller

resistance than for the larger resistance.

Vir dieselfde potensiaalverksil en tyd is tΔRV 2

groter vir die kleiner weerstand

as vir die groter weerstand.

(3)

[14]

TOTAL/TOTAAL: 150

NATIONAL SENIOR CERTIFICATE/ NASIONALE … Sciences P1 QP...physical sciences: physics (p1) fisiese...

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